Trapping scaling for bifurcations in Vlasov systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2016

Trapping scaling for bifurcations in Vlasov systems

Résumé

We study non oscillating bifurcations of non homogeneous steady states of the Vlasov equation, a situation occurring in galactic models, or for Bernstein-Greene-Kruskal modes in plasma physics. Through an unstable manifold expansion, we show that in one spatial dimension the dynamics is very sensitive to the initial perturbation: the instability may saturate at small amplitude-generalizing the " trapping scaling " of plasma physics-or may grow to produce a large scale modification of the system. Furthermore, resonances are strongly suppressed, leading to different phenomena with respect to the homogeneous case. These analytical findings are illustrated and extended by direct numerical simulations with a cosine interaction potential.
Fichier principal
Vignette du fichier
1511.07645.pdf (314.2 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01279770 , version 1 (26-02-2016)
hal-01279770 , version 2 (06-05-2016)

Identifiants

Citer

J Barré, D Métivier, Yoshiyuki y Yamaguchi. Trapping scaling for bifurcations in Vlasov systems. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2016, 93 (4), pp.042207. ⟨10.1103/PhysRevE.93.042207⟩. ⟨hal-01279770v2⟩
42 Consultations
88 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More